Existence and regularity of a global attractor for
doubly nonlinear parabolic equations

Abderrahmane El Hachimi & Hamid El Ouardi
Abstract:
In this paper we consider a doubly nonlinear parabolic partial
differential equation
with Dirichlet boundary condition and initial data given.
We prove the existence of a global compact attractor
by using a dynamical system approach. Under additional
conditions on the nonlinearities
,
, and on
,
we prove more regularity for the global attractor
and obtain stabilization results for the solutions.